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Finding the Fourth Proportional to 327,122.40, 490,683.60 and 256,263.60

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Solution

The fourth proportional to 327,122.40, 490,683.60 and 256,263.60 is: 384,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,122.40 : 490,683.60 = 256,263.60 : x
  2. Step 2: Convert to fraction form
    327,122.40/490,683.60 = 256,263.60/x
  3. Step 3: Cross multiply
    327,122.40x = 490,683.60 × 256,263.60
  4. Step 4: Simplify right side
    327,122.40x = 125,744,345,796.96
  5. Step 5: Solve for x
    x = 125,744,345,796.96/327,122.40
  6. Step 6: Final answer
    x = 384,395.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.